Pattern control in oscillatory systems with invisible controllers
Science and Technology Computation Physics Laboratory, Institute of Applied Physics and Computational Mathematics - Beijing, 100088, China
2 Department of Mathematics and Physics, North China Electric Power University - Beijing, 102206, China
3 Department of Physics, Beijing Normal University - Beijing, 100875, China
Accepted: 23 May 2011
In the present letter we propose a robust method to optimize the conventional heterogeneous patching (HP) method of controlling pattern formation in oscillatory systems. Normal heterogeneous patch controllers always leave visible imprints making the final patterns imperfect. Our optimal HP method uses normal wave (antiwave) media as the patched controllers to control dynamics of antiwave (normal wave) media. With properly selected and patched controllers, this method can modulate systems to desired patterns with the controllers themselves entirely hidden in homogeneous wave patterns. This favorable dynamics is due to the mechanism of interface selected waves (ISWs), which are found recently (Cui Xiaohua et al., Phys. Rev. E, 78 (2008) 026202). Moreover, utilizing the characteristics of ISWs, we are able to flexibly realize rich delicately designed spatiotemporal patterns by jointly using multiple oscillatory media with normal waves and antiwaves.
PACS: 47.54.-r – Pattern selection; pattern formation / 05.45.-a – Nonlinear dynamics and chaos / 04.30.Nk – Wave propagation and interactions
© EPLA, 2011